811649704320 has 1344 divisors, whose sum is σ = 3645819631440. Its totient is φ = 171186462720.

The previous prime is 811649704309. The next prime is 811649704339. The reversal of 811649704320 is 23407946118.

811649704320 is a `hidden beast` number, since 8 + 116 + 497 + 0 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 297197355 + ... + 297200085.

Almost surely, 2^811649704320 is an apocalyptic number.

811649704320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811649704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822909815720).

811649704320 is an abundant number, since it is smaller than the sum of its proper divisors (2834169927120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

811649704320 is a wasteful number, since it uses less digits than its factorization.

811649704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 811649704320 in words is "eight hundred eleven billion, six hundred forty-nine million, seven hundred four thousand, three hundred twenty".